Influence of a concentrated force on the contact of an elastic body with a rigid base with depression

1999 ◽  
Vol 35 (6) ◽  
pp. 783-789 ◽  
Author(s):  
I. M. Machyshyn ◽  
R. M. Martynyak
Keyword(s):  
Elastic Body ◽  
Rigid Base ◽  
Concentrated Force

scholarly journals Effect of compressible liquid on the contact between an elastic body and a rigid base with a periodic array of quasielliptic grooves

2017 ◽  
pp. 72-81
Author(s):  
Oleg Kozachok
Keyword(s):  
Elastic Body ◽  
Elastic Half Space ◽  
Transcendental Equation ◽  
Compressible Liquid ◽  
Normal Displacement ◽  
Rigid Base ◽  
Cauchy Kernel ◽  
Hilbert Kernel ◽  
Contact Compliance ◽  
Interface Gaps

The frictionless contact between an elastic body and a rigid base in the presence of a periodically arranged quasielliptic grooves with in interface gaps in the presence of a compressible liquid is modeled. The contact problem formulated for the elastic half-space is reduced to a singular integral equation (SIE) with Hilbert kernel for a derivative of a height of the interface gaps, which is transformed to a SIE with Cauchy kernel that is solved analytically, and a transcendental equation for liquid’s pressure, which has been obtained from the equation of compressible barotropic liquid state. The dependences of the pressure of the liquid, shape of the gaps, average normal displacement and contact compliance of the bodies on the applied load and bulk modulus of the liquid are analysed.

Plane Deformation of the Loaded Straight Edge of a Semi-Infinite Linearly Elastic Body Suspended on a Winkler Layer

1970 ◽  
Vol 37 (2) ◽  
pp. 524-526 ◽  
Author(s):  
M. F. Kanninen
Keyword(s):  
Crack Propagation ◽  
Elastic Body ◽  
Elastic Foundation ◽  
Finite Interval ◽  
Plane Deformation ◽  
Fourier Method ◽  
Elastic Solid ◽  
Cleavage Crack ◽  
Uniform Load ◽  
Concentrated Force

A solution for an edge loaded, semi-infinite elastic solid on an elastic foundation is presented. This solution, arising in the development of a nonlinear atomic model for cleavage crack propagation, was obtained by the Fourier method. Example results are given for a uniform load on a finite interval and for a concentrated force, Fig. 1, in terms of the sine and cosine integral functions and their auxiliary forms.

A Note on the Application of the Flamant Solution of Classical Elasticity to Circular Domains

2002 ◽  
Vol 69 (6) ◽  
pp. 856-859 ◽  
Author(s):  
A. J. Levy
Keyword(s):  
Elastic Body ◽  
Displacement Field ◽  
Interior Point ◽  
Displacement Component ◽  
Classical Elasticity ◽  
Concentrated Force ◽  
Circular Boundary ◽  
Circular Domains

It is a well known fact that the Flamant solution of classical elasticity cannot be used at an interior point of an elastic body since the resulting displacement field would be multivalued. In this note we demonstrate that the solution to the problem of a concentrated force at a point on an interior circular boundary has a multivalued displacement component but that the exclusion of the point of application of the load from the domain renders the displacement field single-valued everywhere.

scholarly journals Effect of friction in the interaction of an anisotropic strip with a rigid base

2020 ◽  
Vol 16 (2) ◽  
pp. 122-130
Author(s):  
Sergey G. Kudryavtsev ◽  
Julia M. Buldakova
Keyword(s):  
Coefficient Of Friction ◽  
Integral Transform ◽  
Anisotropic Body ◽  
Normal Pressure ◽  
Theory Of Elasticity ◽  
Rigid Base ◽  
Surface Load ◽  
Normal Surface ◽  
Concentrated Force ◽  
The Coefficient Of Friction

Relevance. Different models of contact between bodies are used in determining the stressed and deformed state in the strip lying on the base. It is necessary to evaluate the qualitative and quantitative nature of the change in stress in the strip depending on the coupling of the strip and base. The aim of the work - to analyze the effect of the coefficient of friction on the value of stresses in an anisotropic band when interacting with a rigid base. Methods. The solution is based on the equations of the plane problem of the theory of elasticity of an anisotropic body under the conditions that the band is closely adjacent to the base and the tangent force on the contact plane is proportional to the normal pressure. Displacements and stresses at any point of the strip are written in the form of the method of initial functions through the functions of displacements and forces on the lower plane, which depend on the nature of the load applied on the upper plane and the conditions of contact between the strip and the base. After the transformations, the calculation formulas for displacements and stresses are expressed using the Fourier integral transform through the normal surface load in the form of improper integrals. Results. Formulas for determining displacements and stresses are obtained for the variant of loading a strip with a concentrated force. These formulas are used to construct influence functions for the problem of equilibrium of an anisotropic strip lying on a rigid base, taking into account friction. Graphs of the effect of the coefficient of friction and the direction of the anisotropy axes of the material on the stress state of the strip are presented. The results of stress calculation are compared using anisotropic and isotropic models.

Use of the Finite Element Analysis Method in Pedodontics

2018 ◽  
Vol 55 (4) ◽  
pp. 666-675
Author(s):  
Mihaela Tanase ◽  
Dan Florin Nitoi ◽  
Marina Melescanu Imre ◽  
Dorin Ionescu ◽  
Laura Raducu ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Structural Model ◽  
Analysis Method ◽  
Ansys Software ◽  
Concentrated Force ◽  
Element Analysis ◽  
Finite Element Analysis Method ◽  
The Finite Element Analysis ◽  
Solid Type

The purpose of this study was to determinate , using the Finite Element Analysis Method, the mechanical stress in a solid body , temporary molar restored with the self-curing GC material. The originality of our study consisted in using an accurate structural model and applying a concentrated force and a uniformly distributed pressure. Molar structure was meshed in a Solid Type 45 and the output data were obtained using the ANSYS software. The practical predictions can be made about the behavior of different restorations materials.

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